In a large electronics store, a survey shows the distribution of laptop colors sold as follows:Silver: 40%40\%Black: 30%30\%Gray: 15%15\%Blue: 10%10\%Other: 5%5\%Suppose 100100 laptops are randomly selected from sales records. Find the probability that at least 3535 laptops are black. Is 3535 a significantly high number of black laptops?

P(X≥35)=0.1635P\left(X\ge35\right)=0.1635No, 3535 is not a significantly high number of black laptops.

P(X≥35)=0.0485P\left(X\ge35\right)=0.0485Yes, 3535 is a significantly high number of black laptops.

P(X≥35)=0.0485P\left(X\ge35\right)=0.0485 No, 3535 is not a significantly high number of black laptops.

P(X≥35)=0.1635P\left(X\ge35\right)=0.1635Yes, 3535 is a significantly high number of black laptops.

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Problem 52Multiple Choice

In a large electronics store, a survey shows the distribution of laptop colors sold as follows:
Silver: $40 percent sign$
Black: $30 percent sign$
Gray: $15 percent sign$
Blue: $10 percent sign$
Other: $5 percent sign$
Suppose $100$ laptops are randomly selected from sales records. Find the probability that at least $35$ laptops are black. Is $35$ a significantly high number of black laptops?

$P of open paren X is greater than or equal to 35 close paren equals 0.0485$

Yes, $35$ is a significantly high number of black laptops.

$P of open paren X is greater than or equal to 35 close paren equals 0.0485$

No, $35$ is not a significantly high number of black laptops.

$P of open paren X is greater than or equal to 35 close paren equals 0.1635$

Yes, $35$ is a significantly high number of black laptops.

$P of open paren X is greater than or equal to 35 close paren equals 0.1635$

No, $35$ is not a significantly high number of black laptops.

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